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Finding the Fourth Proportional to 53,200.90, 73,414.50 and 29,323.12

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Solution

The fourth proportional to 53,200.90, 73,414.50 and 29,323.12 is: 40,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.90 : 73,414.50 = 29,323.12 : x
  2. Step 2: Convert to fraction form
    53,200.90/73,414.50 = 29,323.12/x
  3. Step 3: Cross multiply
    53,200.90x = 73,414.50 × 29,323.12
  4. Step 4: Simplify right side
    53,200.90x = 2,152,742,193.24
  5. Step 5: Solve for x
    x = 2,152,742,193.24/53,200.90
  6. Step 6: Final answer
    x = 40,464.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.